椭圆扁圆度对椭圆环线电流中心轴线磁场分布的影响

Effects of elliptic flattening on magnetic field distribution in central axis line generated by an elliptic electric current

运用场的叠加原理、椭圆积分的理论和方法,巧妙利用椭圆的对称性,导出了椭圆环线电流中心轴线磁场分布的解析表达式,系统、深入地讨论了椭圆扁圆度对椭圆环线电流中心轴线磁场分布的影响,揭示了椭圆环扁圆度对线电流中心轴线磁场分布具有调整作用、能使其呈现极大值的重要特性.

Using the superposition principle of the magnetic field and the theoretical method of elliptic integrals as well as symmetry of the ellipse, we obtain the distribution of magnetic field in the central axis line generated by an elliptic electric current. We discuss systematically and intensively the effects of the elliptic flattening on the mag- netic field distribution in central axis line. The important properties which the elliptic flattening makes the distribu- tion of magnetic field intensity in the central axis show a maximum structure are revealed.